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Prealgebra & Introductory Algebra - Elayn Martin-Gay

Prealgebra & Introductory Algebra

Media-Kombination
1312 Seiten
2007 | 2nd edition
Pearson
978-0-13-157705-3 (ISBN)
CHF 197,40 inkl. MwSt
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Elayn Martin-Gay believes every student can succeed and that is the motivating force behind her best-selling texts and acclaimed video program.  With Martin-Gay you get 100% consistency in voice from text to video!

 

Prealgebra and Introductory Algebra 2e is appropriate for a 2-sem sequence of Prealgebra (Basic Math with very early introduction to algebra) and Introductory Algebra (aka Elementary Algebra).  This text was written to help students effectively make the transition from arithmetic to algebra and provide a strong foundation for success in their next, intermediate algebra course.  To reach this goal, Martin-Gay introduces algebraic concepts early and repeats them as she treats traditional arithmetic topics, and then further develops their exposure to elementary-level algebra topics.

 

The material from this text is also available split out into two separate textbooks, Prealgebra 5e and Introductory Algebra 3e, if you prefer to use split textbooks, rather than one combined textbook for your 2-sem sequence.

Elayn Martin-Gay, University of New Orleans An award-winning instructor and best-selling author, Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years.  Her numerous teaching awards include the local University Alumni Association’s Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.    In addition to this 2nd Edition of Prealgebra and Introductory Algebra, Elayn also authors Prealgebra 5e  and the recently published ©2007 Worktext Series:  Basic College Mathematics 3e, Introductory Algebra 3e, Intermediate Algebra 3e, and Algebra A Combined Approach 3e and two new first editions worktexts, Basic College Mathematics with Early Integers, and Developmental Mathematics. Elayn Martin-Gay also authors a best-selling ©2005 Hardback Series:  Beginning Algebra 4e, Intermediate Algebra 4e, Intermediate Algebra: A Graphing Approach 3e, and Beginning and Intermediate Algebra 3e.   Prior to writing textbooks, Elayn developed an acclaimed series of lecture videos to support developmental mathematics students in their quest for success. These highly successful videos originally served as the foundation material for her texts. Today, the videos are specific to each book in the Martin-Gay series. Elayn also originated the Chapter Test Prep Video CD to help students as they prepare for a test - their most “teachable moment!”   Elayn’s experience has made her aware of how busy instructors are and what a difference quality support makes.  For this reason, she created the Instructor-to-Instructor video series. These videos provide instructors with suggestions for presenting specific math topics and concepts in basic mathematics, prealgebra, beginning algebra, and intermediate algebra. Seasoned instructors can use them as a source for alternate approaches in the classroom. New or adjunct faculty may find the CDs useful for review.   Her textbooks and acclaimed video program support Elayn's passion of helping every student to succeed.

Chapter 1 — Whole Numbers and Introduction to Algebra   1.1  Tips for Success in Mathematics

1.2  Place Value and Names for Numbers

1.3  Adding and Subtracting Whole Numbers and Perimeter 

1.4  Rounding and Estimating

1.5  Multiplying Whole Numbers and Area

1.6  Dividing Whole Numbers

Integrated Review — Operations on Whole Numbers

1.7  Exponents and Order of Operations

1.8   Introduction to Variables, Algebraic Expressions and Equations

 

Chapter 2 — Integers and Introduction to Solving Equations

2.1 Introduction to Integers

2.2 Adding Integers

2.3 Subtracting Integers

2.4 Multiplying and Dividing Integers

Integrated Review - Integers

2.5 Order of Operations

2.6 Solving Equations:  The Addition and Multiplication Properties

 

Chapter 3 — Solving Equations and Problem Solving

3.1 Simplifying Algebraic Expressions

3.2 Solving Equations: Review of the Addition and Multiplication Properties

Integrated Review — Expressions and Equations

3.3 Solving Linear equations in One Variable

3.4 Linear Equations in One Variable and Problem Solving

 

Chapter 4 — Fractions 

4.1 Introduction to Fractions and Equivalent Fractions

4.2 Factors and Lowest Terms

4.3 Multiplying and Dividing Fractions

4.4 Adding and Subtracting Like Fractions and Least Common Denominator

4.5 Adding and Subtracting Fractions with Unlike Denominators

Integrated Review — Summary on Fractions and Operations on Fractions

4.6 Complex Fractions and Review of Order of Operations

4.7 Operations on Mixed Numbers

4.8 Solving Equations Containing Fractions

 

Chapter 5 — Decimals

 5.1 Introduction to Decimals

5.2 Adding and Subtracting Decimals

5.3 Multiplying Decimals and Circumference of a Circle

5.4 Dividing Decimals

Integrated Review — Operations on Decimals

5.5 Fractions, Decimals, and Order of Operations

5.6 Equations Containing Decimals

5.7 Decimal Applications:  Mean, Median, and Mode

 

Chapter 6 — Percent

6.1 Ratio and Proportion

6.2 Percents, Decimals, and Fractions

6.3 Solving Percent Problems with Equations

6.4 Solving Percent Problems with Proportions

Integrated Review — Ratio, Proportion, and Percent

6.5 Applications of Percent

6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount

6.7 Percent and Problem Solving: Interest

 

Chapter 7 — Graphs and Triangle Applications

7.1 Reading Pictographs, Bar Graphs, Histograms and Line Graphs

7.2 Reading Circle Graphs

Integrated Review — Reading Graphs

7.3 Square Roots and the Pythagorean Theorem

7.4 Congruent and Similar Triangles

7.5 Counting and Introduction to Probability

 

Chapter 8 — Geometry and Measurement

 8.1 Lines and Angles

8.2 Perimeter

8.3 Area and Volume, and Surface Area

Integrated Review — Geometry Concepts

8.4 Linear Measurement

8.5 Weight and Mass

8.6 Capacity

8.7 Temperature and Conversions Between the U.S. and Metric Systems

 

Chapter 9 Equations, Inequalities, and Problem Solving

9.1 Symbols and Sets of Numbers

9.2 Properties of Real Numbers

9.3 Further Solving Linear Equations

Integrated Review — Real Numbers and Solving Linear Equations

9.4 Further Problem Solving 

9.5 Formulas and Problem Solving 

9.6 Linear Inequalities and Problem Solving

 

Chapter 10 Exponents and Polynomials

10.1 Exponents

10.2 Negative Exponents and Scientific Notation

10.3 Introduction to Polynomials

10.4 Adding and Subtracting Polynomials

10.5 Multiplying Polynomials

10.6 Special Products

Integrated Review — Exponents and Operations on Polynomials

10.7 Dividing Polynomials

 

Chapter 11 Factoring Polynomials

11.1 The greatest Common Factor
11.2 Factoring Trinomials of the Form x2 + bx + c

11.3 Factoring Trinomials of the Form ax2 + bx + c

11.4 Factoring Trinomials by Grouping 

11.5 Factoring By Special Products

Integrated Review — Choosing a Factoring Strategy

11.6 Solving Quadratic Equations by Factoring

11.7 Quadratic Equations and Problem Solving

 

Chapter 12 Rational Expressions 

12.1 Simplifying Rational Expressions

12.2 Multiplying and Dividing Rational Expressions

12.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator

12.4 Adding and Subtracting Rational Expressions with Different Denominators

12.5 Solving Equations Containing Rational Expressions

Integrated Review — Summary on Rational Expressions

12.6 Rational Equations and Problem Solving

12.7 Simplifying Complex Fractions

 

Chapter 13 Graphing Equations and Inequalities

13.1 The Rectangular Coordinate System

13.2 Graphing Linear Equations

13.3 Intercepts

13.4 Slope and Rate of Change

13.5 Equations of Lines

Integrated Review — Summary on Linear Equations

13.6 Introduction to Functions

13.7 Graphing Linear Inequalities in two Variables

13.8 Direct and Inverse Variation

 

Chapter 14 Systems of Equations

14.1 Solving systems of Linear Equations by Graphing 

14.2 Solving Systems of Linear Equations by Substitution

14.3 Solving Systems of Linear Equations by Addition

 Integrated Review — Systems of Linear Equations

14.4 Systems of Linear Equations and Problem Solving

 

Chapter 15 Roots and Radicals

15.1 Introduction to Radicals

15.2 Simplifying Radicals

15.3 Adding and Subtracting Radicals

15.4 Multiplying and Dividing Radicals

Integrated Review — Simplifying Radicals

15.5 Solving Equations Containing Radicals

15.6 Radical Equations and Problem Solving  

 

Chapter 16 Quadratic Equations

16.1 Solving Quadratic Equations by the Square Root Property

16.2 Solving Quadratic Equations by Completing the Square

16.3 Solving Quadratic Equations by the Quadratic Formula

Integrated Review — Summary of Solving Quadratic Equations

16.4 Graphing Quadratic Equations in Two Variables

 

Appendices

Appendix A:  Tables (1. Geometric Figures   2.  Percents, Decimals, and Fraction Equivalents   3.  Finding Common Percents of a Number   4.  Squares and Square Roots)

Appendix B:  The Bigger Picture

Appendix C:  Factoring Sums and Differences of Cubes

Appendix D:  Systems of Linear Inequalities  

 

 

Erscheint lt. Verlag 23.2.2007
Sprache englisch
Maße 216 x 276 mm
Gewicht 2420 g
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 0-13-157705-0 / 0131577050
ISBN-13 978-0-13-157705-3 / 9780131577053
Zustand Neuware
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